What is sqrt((x-2)^2-5(x-2)) ?

The solution to sqrt((x-2)^2-5(x-2)) is sqrt(x^2-9x+14)

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simplify sqrt((x-2)^2-5(x-2))

simplify

(x - 2)^{2} - 5 (x - 2)

x^{2} - 9 x + 14

Solution steps

(x - 2)^{2} - 5 (x - 2)

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{2} - 4 x + 4 - 5 (x - 2)

Expand

- 5 (x - 2) : - 5 x + 10

= x^{2} - 4 x + 4 - 5 x + 10

Simplify

x^{2} - 4 x + 4 - 5 x + 10 : x^{2} - 9 x + 14

= x^{2} - 9 x + 14

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(7 a^{5} + 12 b^{2})^{2}

\frac{8}{1 - 17}

2 - 4 cos^{2} (x) + 4 cos^{4} (x)

What is sqrt((x-2)^2-5(x-2)) ?
The solution to sqrt((x-2)^2-5(x-2)) is sqrt(x^2-9x+14)